Answer:
The remaining number of miles to trail will be [tex]3\frac{3}{4}[/tex] miles.
Step-by-step explanation:
A group of scouts cleared tree branches from [tex]2\frac{5}{6}[/tex] i.e. [tex]\frac{17}{6}[/tex] miles of trail the first day. On the second day, they cleared [tex]3\frac{1}{4}[/tex] i.e. [tex]\frac{13}{4}[/tex] miles of trail.
Therefore, in two days they have cleared [tex](\frac{17}{6} + \frac{13}{4}) = \frac{17 \times 2 + 13 \times 3}{12} = 5[/tex] miles.
If the length of the trail is [tex]8\frac{3}{4}[/tex] i.e. [tex]\frac{35}{4}[/tex] miles, then the remaining number of miles to trail will be [tex]\frac{35}{4} - 5 = \frac{15}{4} = 3\frac{3}{4}[/tex] miles. (Answer)
